2-5(x+5)+3x-5=3(x-2)-7-2x+x-3

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Solution for 2-5(x+5)+3x-5=3(x-2)-7-2x+x-3 equation: 


Simplifying
2 + -5(x + 5) + 3x + -5 = 3(x + -2) + -7 + -2x + x + -3

Reorder the terms:
2 + -5(5 + x) + 3x + -5 = 3(x + -2) + -7 + -2x + x + -3
2 + (5 * -5 + x * -5) + 3x + -5 = 3(x + -2) + -7 + -2x + x + -3
2 + (-25 + -5x) + 3x + -5 = 3(x + -2) + -7 + -2x + x + -3

Reorder the terms:
2 + -25 + -5 + -5x + 3x = 3(x + -2) + -7 + -2x + x + -3

Combine like terms: 2 + -25 = -23
-23 + -5 + -5x + 3x = 3(x + -2) + -7 + -2x + x + -3

Combine like terms: -23 + -5 = -28
-28 + -5x + 3x = 3(x + -2) + -7 + -2x + x + -3

Combine like terms: -5x + 3x = -2x
-28 + -2x = 3(x + -2) + -7 + -2x + x + -3

Reorder the terms:
-28 + -2x = 3(-2 + x) + -7 + -2x + x + -3
-28 + -2x = (-2 * 3 + x * 3) + -7 + -2x + x + -3
-28 + -2x = (-6 + 3x) + -7 + -2x + x + -3

Reorder the terms:
-28 + -2x = -6 + -7 + -3 + 3x + -2x + x

Combine like terms: -6 + -7 = -13
-28 + -2x = -13 + -3 + 3x + -2x + x

Combine like terms: -13 + -3 = -16
-28 + -2x = -16 + 3x + -2x + x

Combine like terms: 3x + -2x = 1x
-28 + -2x = -16 + 1x + x

Combine like terms: 1x + x = 2x
-28 + -2x = -16 + 2x

Solving
-28 + -2x = -16 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-28 + -2x + -2x = -16 + 2x + -2x

Combine like terms: -2x + -2x = -4x
-28 + -4x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-28 + -4x = -16 + 0
-28 + -4x = -16

Add '28' to each side of the equation.
-28 + 28 + -4x = -16 + 28

Combine like terms: -28 + 28 = 0
0 + -4x = -16 + 28
-4x = -16 + 28

Combine like terms: -16 + 28 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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